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Elden [556K]
3 years ago
14

A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet lo

ng. How much of the board is left?
Mathematics
1 answer:
Aneli [31]3 years ago
6 0
Add 3 1/2 and 2 1/3, 

Firstly, find the common denominator. It is is 6

3 3/6 + 2 2/6

this gets you 5 5/6.

Take this away from 8:

8 - 5 5/6 = 2 1/6

So 2 1/6 of the board is left over.
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4 0
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Find S11 for 1 + 2 + 4 + 8 +
Free_Kalibri [48]
Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
 
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where Sn is the sum of n terms in this case, n = 11. 
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<span>                                      Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047. 
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